Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×D₂₀

Direct product G=N×Q with N=C₃ and Q=C₄×D₂₀

		d	ρ	Label	ID
C₁₂×D₂₀		240		C12xD20	480,666

Semidirect products G=N:Q with N=C₃ and Q=C₄×D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×D₂₀) = D₆₀⋊₁₄C₄	φ: C₄×D₂₀/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C4xD20)	480,504
C₃⋊₂(C₄×D₂₀) = Dic₃⋊₄D₂₀	φ: C₄×D₂₀/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C4xD20)	480,471
C₃⋊₃(C₄×D₂₀) = C₄×D₆₀	φ: C₄×D₂₀/C₄×C₂₀ → C₂ ⊆ Aut C₃	240		C3:3(C4xD20)	480,838
C₃⋊₄(C₄×D₂₀) = C₄×C₃⋊D₂₀	φ: C₄×D₂₀/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:4(C4xD20)	480,519
C₃⋊₅(C₄×D₂₀) = Dic₃×D₂₀	φ: C₄×D₂₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:5(C4xD20)	480,501

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